5293346884560 has 720 divisors, whose sum is σ = 21985571297664. Its totient is φ = 1135458035712.

The previous prime is 5293346884541. The next prime is 5293346884561. The reversal of 5293346884560 is 654886433925.

5293346884560 is a `hidden beast` number, since 5 + 2 + 9 + 3 + 3 + 4 + 68 + 8 + 4 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5293346884561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 42944779 + ... + 43067861.

Almost surely, 2^{5293346884560} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5293346884560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10992785648832).

5293346884560 is an abundant number, since it is smaller than the sum of its proper divisors (16692224413104).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5293346884560 is a wasteful number, since it uses less digits than its factorization.

5293346884560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123192 (or 123176 counting only the distinct ones).

The product of its (nonzero) digits is 149299200, while the sum is 63.

The spelling of 5293346884560 in words is "five trillion, two hundred ninety-three billion, three hundred forty-six million, eight hundred eighty-four thousand, five hundred sixty".